A student was asked to find a 90% confidence interval for the proportion of stud

Question

A student was asked to find a 90% confidence interval for the proportion of students who take notes using data from a random sample of size n = 79. Which of the following is a correct interpretation of the interval 0.13 < p < 0.34?

Check all that are correct.

There is a 90% chance that the proportion of the population is between 0.13 and 0.34.

The proportion of all students who take notes is between 0.13 and 0.34, 90% of the time.

With 90% confidence, a randomly selected student takes notes in a proportion of their classes that is between 0.13 and 0.34.

There is a 90% chance that the proportion of notetakers in a sample of 79 students will be between 0.13 and 0.34.

With 90% confidence, the proportion of all students who take notes is between 0.13 and 0.34.

Explanation / Answer

Solution:-

There is a 90% chance that the proportion of the population is between 0.13 and 0.34.

A 90% confidence interval has a 0.90 probability of containing the population mean. 90% of the population distribution is contained in the confidence interval.

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